Which of the answer choices below has the same solution set as the inequality y minus 8 less-than-or-equal-to negative 2?
A.y minus 8 + 8 greater-than-or-equal-to negative 2 + 8
B.y minus 8 + 8 less-than negative 2 + 8
C.y minus 8 + 2 less-than-or-equal-to negative 2 + 8
D.y minus 8 + 2 less-than-or-equal-to negative 2 + 2

The answer choices that is same solution set as the inequality y minus 8 less-than-or-equal-to negative 2(y - 8 ≤ - 2) is y minus 8 + 2 less-than-or-equal-to negative 2 + 2(y - 8 + 2 ≤ - 2 + 2)

Inequality

An Inequality equation has the following signs <, >, ≤ and ≥.

Therefore,

y - 8 ≤ - 2

let's solve for y

y - 8 ≤ - 2

add 8 to both sides of the equation

y - 8 + 8 ≤ - 2 + 8

y ≤ 6

The answer choice with the same solution should be less than or equals to 6. Therefore,

y - 8 + 2 ≤ -2 + 2

y - 8 + 2 ≤ - 2 + 2

y - 6 ≤ 0

add 6 to both sides

y ≤ 6

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